{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c186cfa7",
   "metadata": {},
   "source": [
    "# *eht-imaging* multifrequency Tutorial\n",
    "\n",
    "This is a very basic tutorial for multi-frequency imaging that uses complex visibilities, not closure products"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "98f6b52d",
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import division\n",
    "from __future__ import print_function\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import ehtim as eh\n",
    "from scipy.ndimage import gaussian_filter\n",
    "from   ehtim.calibrating import self_cal as sc\n",
    "\n",
    "# change to 'direct' if you don't have nfft installed\n",
    "ttype='nfft'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c33dbb15",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading text image:  ../models/avery_sgra_eofn.txt\n"
     ]
    }
   ],
   "source": [
    "# Load the image and the array\n",
    "im = eh.image.load_image('../models/avery_sgra_eofn.txt')\n",
    "eht = eh.array.load_txt('../arrays/EHT2017.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "9da32ed5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Add an artifical spectral index to the image\n",
    "alpha1 = -2.5\n",
    "alpha2 = 1\n",
    "\n",
    "specarr = np.zeros(im.imvec.shape).reshape((im.ydim,im.xdim))\n",
    "mask = im.imarr() > .5*np.max(im.imvec)\n",
    "specarr[~mask] = alpha1\n",
    "specarr[mask] = alpha2\n",
    "specarr = gaussian_filter(specarr, (4, 4))\n",
    "im.specvec = specarr.flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "ad23b78f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.4884327618 1.8775344942967283\n"
     ]
    }
   ],
   "source": [
    "# display the spectral index\n",
    "im230 = im.get_image_mf(230.e9)\n",
    "im345 = im.get_image_mf(345.e9)\n",
    "\n",
    "im230.display();\n",
    "im345.display();\n",
    "im.display(pol='spec',cbar_lims=[-2,2]);\n",
    "print(im230.total_flux(),im345.total_flux())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "beaf8e84",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating empty observation file . . . \n",
      "Producing clean visibilities from image with nfft FT . . . \n",
      "Adding gain + phase errors to data and applying a priori calibration . . . \n",
      "Adding thermal noise to data . . . \n",
      "Generating empty observation file . . . \n",
      "Producing clean visibilities from image with nfft FT . . . \n",
      "Adding gain + phase errors to data and applying a priori calibration . . . \n",
      "Adding thermal noise to data . . . \n"
     ]
    }
   ],
   "source": [
    "# Observe the image at two different frequencies\n",
    "tint_sec = 60\n",
    "tadv_sec = 600\n",
    "tstart_hr = 0\n",
    "tstop_hr = 24\n",
    "bw_hz = 2e9\n",
    "obs230 = im230.observe(eht, tint_sec, tadv_sec, tstart_hr, tstop_hr, bw_hz,\n",
    "                     sgrscat=False, ampcal=True, phasecal=True)\n",
    "obs345 = im345.observe(eht, tint_sec, tadv_sec, tstart_hr, tstop_hr, bw_hz,\n",
    "                        sgrscat=False, ampcal=True, phasecal=True)\n",
    "obslist = [obs230,obs345]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "eb2cd162",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot uv-coverage and amplitudes\n",
    "eh.plotall_obs_compare([obs230,obs345],'u','v',conj=True,rangey=[-1.5e10,1.5e10],rangex=[1.5e10,-1.5e10],legendlabels=['230','345'])\n",
    "eh.plotall_obs_compare([obs230,obs345],'uvdist','amp',legendlabels=['230','345']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "a18b5cd7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nominal Resolution 230 GHz: 23.6 uas\n",
      "Nominal Resolution 345 GHz: 15.8 uas\n"
     ]
    }
   ],
   "source": [
    "# Resolution\n",
    "beamparams230 = obs230.fit_beam() # fitted beam parameters (fwhm_maj, fwhm_min, theta) in radians\n",
    "res230 = obs230.res() # nominal array resolution, 1/longest baseline\n",
    "beamparams345 = obs345.fit_beam() # fitted beam parameters (fwhm_maj, fwhm_min, theta) in radians\n",
    "res345 = obs345.res() # nominal array resolution, 1/longest baseline\n",
    "print(\"Nominal Resolution 230 GHz: %.1f uas\"%(res230/eh.RADPERUAS))\n",
    "print(\"Nominal Resolution 345 GHz: %.1f uas\"%(res345/eh.RADPERUAS))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "cdb1ac30",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Determine zero-baseline spectral index\n",
    "zbllist = np.array([im230.total_flux(),im345.total_flux()])\n",
    "rflist = np.array([im230.rf,im345.rf])\n",
    "alpha0=np.polyfit(np.log(rflist), np.log(zbllist), 1)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "e7249b23",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate an image prior\n",
    "npix = 64\n",
    "fov = 1*im.fovx()\n",
    "zbl = im.total_flux() # total flux\n",
    "prior_fwhm = 200*eh.RADPERUAS # Gaussian size in microarcssec\n",
    "emptyprior = eh.image.make_square(obs230, npix, fov)\n",
    "flatprior = emptyprior.add_flat(zbl)\n",
    "gaussprior = emptyprior.add_gauss(zbl, (prior_fwhm, prior_fwhm, 0, 0, 0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "52cb84f3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initializing imager data products . . .\n",
      "==============================\n",
      "Imager run 1 \n",
      "Imaging . . .\n",
      "time: 0.655205 s\n",
      "J: 27.727287\n",
      "chi2_vis_0 : 15.33 chi2_vis_1 : 13.24 \n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
      "==============================\n",
      "==============================\n",
      "Imager run 2 \n",
      "Imaging . . .\n",
      "time: 6.705995 s\n",
      "J: 0.948008\n",
      "chi2_vis_0 : 0.98 chi2_vis_1 : 1.03 \n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
      "==============================\n",
      "==============================\n",
      "Imager run 3 \n",
      "Imaging . . .\n",
      "time: 6.622781 s\n",
      "J: 0.768558\n",
      "chi2_vis_0 : 0.94 chi2_vis_1 : 1.00 \n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
      "==============================\n",
      "==============================\n",
      "Imager run 4 \n",
      "Imaging . . .\n",
      "time: 6.674667 s\n",
      "J: 0.742038\n",
      "chi2_vis_0 : 0.94 chi2_vis_1 : 1.00 \n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
      "==============================\n",
      "==============================\n",
      "Imager run 5 \n",
      "Imaging . . .\n",
      "time: 6.596329 s\n",
      "J: 0.728724\n",
      "chi2_vis_0 : 0.94 chi2_vis_1 : 0.99 \n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
      "==============================\n",
      "==============================\n",
      "Imager run 6 \n",
      "Imaging . . .\n",
      "time: 6.610547 s\n",
      "J: 0.721557\n",
      "chi2_vis_0 : 0.93 chi2_vis_1 : 0.99 \n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
      "==============================\n"
     ]
    }
   ],
   "source": [
    "# Image both frequencies together with spectral index using complex visibilities\n",
    "plt.close('all')\n",
    "gaussprior = gaussprior.add_const_mf(alpha0) # add an initial constant spectral index\n",
    "\n",
    "imgr  = eh.imager.Imager(obslist, gaussprior, gaussprior, zbl,\n",
    "                          data_term={'vis':1},\n",
    "                          reg_term={'tv':0.05,'l1':0.1,'tv_alpha':0.5},\n",
    "                          norm_reg=True,\n",
    "                          epsilon_tv = 1.e-10,\n",
    "                          mf_which_solve=(1,1,0), #(1,1,0) for spectral index only, (1,1,1) for curvature\n",
    "                          maxit=100, ttype=ttype)\n",
    "imgr.make_image_I(mf=True,show_updates=False)\n",
    "out = imgr.out_last()\n",
    "\n",
    "for i in range(5): # blur and reimage\n",
    "    out = out.blur_circ(res230)\n",
    "    imgr.maxit_next=1000\n",
    "    imgr.init_next = out\n",
    "    imgr.make_image_I(mf=True,show_updates=False)\n",
    "    out = imgr.out_last()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "7d13e62a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# look at results\n",
    "out230_mf = out.get_image_mf(230.e9)\n",
    "out345_mf = out.get_image_mf(345.e9)\n",
    "\n",
    "out230_mf.display()\n",
    "out345_mf.display()\n",
    "out.display(pol='spec');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2e612128",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
